Anderson localization in a superstring model representation

Shinobu Hikami

Physica A: Statistical Mechanics and its Applications, 1990, vol. 167, issue 1, 149-162

Abstract: Anderson localization has been considered via the nonlinear σ model. We consider the possibility that the Anderson localization is formulated in a superstring model, based upon the finding that the β-function of Anderson localization coincides with the β-function of the space-time supersymmetric nonlinear σ model. We recover the recent four-loop result by Wegner. By the equivalence of the β-function of Anderson localization to the supersymmetric nonlinear σ model, a possible conjecture about higher order terms is discussed. The difference between the orthogonal case and the unitary case is investigated in terms of the supersymmetric nonlinear σ model. The advantage of the formulation in terms of superstring model is emphasized for the study of Anderson localization.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:167:y:1990:i:1:p:149-162

DOI: 10.1016/0378-4371(90)90049-X

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